Electric dipole versus full interaction in the dynamics of laser excitation of Rydberg wavepackets

Mercouris, T; Komninos, Y; Nicolaides, CA

dc.contributor.author	Mercouris, T	en
dc.contributor.author	Komninos, Y	en
dc.contributor.author	Nicolaides, CA	en
dc.date.accessioned	2014-03-01T01:17:47Z
dc.date.available	2014-03-01T01:17:47Z
dc.date.issued	2002	en
dc.identifier.issn	0953-4075	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14665
dc.subject.classification	Optics	en
dc.subject.classification	Physics, Atomic, Molecular & Chemical	en
dc.subject.other	Approximation theory	en
dc.subject.other	Electricity	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Hydrogen	en
dc.subject.other	Integrodifferential equations	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Electric dipole	en
dc.subject.other	Electric dipole approximation	en
dc.subject.other	Full multipolar interaction	en
dc.subject.other	Intrashell matrix elements	en
dc.subject.other	Laser excitation	en
dc.subject.other	Multimanifold expansions	en
dc.subject.other	Multipolar Hamiltonians	en
dc.subject.other	Rydberg wavepackets	en
dc.subject.other	Time-dependent Schrodinger equation	en
dc.subject.other	Atomic physics	en
dc.title	Electric dipole versus full interaction in the dynamics of laser excitation of Rydberg wavepackets	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0953-4075/35/6/303	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0953-4075/35/6/303	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We solve the time-dependent Schrodinger equation (TDSE) that describes the resonant excitation of the hydrogen 1 s state to Rydberg states and wavepackets using the electric dipole approximation (EDA) in the length form as well as the full electric interaction of the multipolar Hamiltonian. The time-dependent wavefunctions are expanded in a hydrogenic basis and the TDSE is transformed into a system of coupled integro-differential equations. The truncation of this expansion is done systematically and judiciously within a scheme which we call the multimanifold intrashell approximation, according to which the intershell matrix elements are ignored. The ensuing drastic reduction in the size of the overall calculation allows an economic and meaningful solution of the problem when the multipolar interaction to all orders is taken into account. Three categories of calculations were carried out, all involving many hydrogenic n-manifolds, without and,with intrashell couplings. A series of computations dealt with resonant excitation of manifolds up to n(res) = 85. The first two categories of calculations involved the EDA and multimanifold expansions without and with intrashell matrix elements. The third category involved the full multipolar interaction and multimanifold expansions with intrashell matrix elements. The reported time-dependent survival probabilities revealed that, even for the weak field used (8.75 x 10(7) W cm(-2)), as the level of the resonant excitation rises beyond n greater than or equal to 10, the EDA fails to describe the correct dynamics of such processes. The results herein provide quantitative information and demonstrate beyond doubt the limitations and inaccuracies of the EDA when the field-atom coupling involves extended wavefunctions; such as the high-lying Rydberg states.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Journal of Physics B: Atomic, Molecular and Optical Physics	en
dc.identifier.doi	10.1088/0953-4075/35/6/303	en
dc.identifier.isi	ISI:000177413400006	en
dc.identifier.volume	35	en
dc.identifier.issue	6	en
dc.identifier.spage	1439	en
dc.identifier.epage	1454	en